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Simplifying
289z2 + -324 = 0
Reorder the terms:
-324 + 289z2 = 0
Solving
-324 + 289z2 = 0
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '324' to each side of the equation.
-324 + 324 + 289z2 = 0 + 324
Combine like terms: -324 + 324 = 0
0 + 289z2 = 0 + 324
289z2 = 0 + 324
Combine like terms: 0 + 324 = 324
289z2 = 324
Divide each side by '289'.
z2 = 1.121107266
Simplifying
z2 = 1.121107266
Take the square root of each side:
z = {-1.058823529, 1.058823529}
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